Haryana Board Class 10 Mathematics Basic Model Paper With Solution 2024-25: Download PDF For Free

BSEH Haryana Board Class 10 Mathematics Basic Model Paper 2025: The Board of School Education Haryana takes care of the administration and development of school education in Haryana. Since sample papers are of great importance to a student’s preparation, BSEH has released the model papers for different subjects for the students of class 10. These are available on the official website of the Board, bseh.org.in. We have given the HBSE Class 10 Mathematics Basic sample paper and marking scheme here. 

BSEH has also made available the marking scheme and paper pattern for students. This will provide a clear insight into the weightage and type of questions that students must be prepared for. 

When students solve sample papers, it helps them to understand how much they have understood from what they have learned. This also helps them to understand the type and level of difficulty of questions that they can expect in the examination. Solving model question papers helps students to check their level of preparation and gives them a reality check of where they stand. It also helps to develop writing practice and teaches time management.  

Continue reading to download the HBSE Class 10 Mathematics Basic Model Paper and Marking Scheme in pdf format. 

HBSE Class 10 Mathematics Basic Question Paper Instructions 2024-25

1. There are 5 sections A, B, C, D and E in this question paper.

2. Section – A consists of one mark questions from 1 to 20. 1 to 18 are Multiple Choice Questions (MCQs), One Word Answer, Fill in the blank, True/False and question numbers 19 and 20 are Assertion- Reasoning based questions.

3. Section-B consists of Very Short Answer Type (VSA) questions of two marks each from 21 to 25.

4. Section-C consists of short-answer (SA) type questions of three markseach from 26 to 31.

5. Section-D consists of Long-Answer (LA) type questions of five marks each from 32 to 35.

6. Question numbers 36 to 38 in Section-E are case study based questions of four marks each. Internal choice is given in each case study question of two marks each. 

7. All questions are compulsory. However, provision of internal choice has been made in 2 questions of Section-B, 2 questions of Section-C, 2 questions of Section-D and 3 questions of Section-E.

 HBSE Class 10 Mathematics Basic Model Paper 2024-25

Given below are the questions and solutions from Section A of HBSE Class 10 Mathematics Basic Model Paper 2024-25. 

SECTION-A

Q1. HCF of ( 2(3) × 3(2) × 5),( 2 (2) × 3 (3) × 5 (2) ) and (2 (4) × 3 × 5 (3) ×7) is

(a) 50 

(b) 45 

(c ) 110 

(d) 60

Ans. (d)60

Q2. The number of polynomials having zeroes as -2 and 5 is: 

(a) 1 

(b) 2 

(c ) 3 

(d) more than 3

Ans. (d) more than 3

Q3. Which of the following is not a quadratic equation ?

(a) (x+2)2 =2(x+3)

(b) x 2 +3x =(-1)(1-3x)2

(c ) (x+2)(x-1)=x 2 -2x-3

(d) x 3 -x 2+2x +1=(x+1)3

Ans. (c)(x+2)(x-1)=x 2-2x-3

Q4. If the volume and the surface area of a sphere are numerically equal,then the radius of the sphere is

(a) 2 units 

(b) 1 unit 

(c ) 3 units 

(d) 4 units

Ans. (c) 3 units 

Q5. If A (n/3 ,5) is the mid- point of the line segment joining the points P(-6,7) and Q(-2,3), then the value of n is :

(a) -12 

(b) -4 

(c )12 

(d) -6

Ans. (a) -12

Q6. If ABC and DEF are similar triangles such that ∠A = 47° and ∠E = 83°,then ∠C is equal to

(a) 50° 

(b) 60° 

(c ) 70° 

(d) 80°

Ans. (a) 50°

Q7. In figure if ∠AOB = 125° ,then ∠COD is equal to :

(a) 62.5° 

(b) 45° 

(c ) 35° 

(d) 55°

Ans. (d) 55°

Q8. If tanθ =a/b , then cosθ=

(a) a/√a2+b2

(b) b/√a2+b2

(c ) √a2+b2/a

(d) √a2+b2/b

Ans. (b) b/√a 2+b 2

Q9. If a pole 12 m high casts a shadow 4 √3 m long on the ground, then the angle of elevation of sun is :

(a) 60°

(b) 45° 

( c) 30°

(d)90°

Ans.(a) 60°

Q10. A chord of a circle of radius 10 cm subtends a right angle at its centre.The length of the chord(in cm) is:

(a) 5√2 

(b) 10√2 

(c ) 5√2 

(d) 5

Ans. (b)10√2

Q11. For the data 2, 9, x+6, 2x +3 , 5,10, 5; if the mean is 7, then the value of x is :

(a) 9 

(b) 6 

(c ) 5 

(d) 3

Ans. (d) 3

Q12. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is multiple of 5 is :

(a ) 1/5 

(b) 3/5 

(c ) 4/5 

(d ) ⅓

Ans. (a) ⅕

Q13. A number that cannot be expressed in the form p/q ,where p,q are integers, q≠ 0 and p, q are co-prime is called ______________ number.

Ans. Irrational number. 

Q14. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm, then length PQ is_________ cm.

Ans. √119 cm

Q15. If sinθ= a and secθ = b , then tanθ is_.

Ans. tanθ =a b

Q16. If 4 tanθ=3 then what is the value of 4sinθ−cosθ/4sinθ+cosθ ?

Ans. ½

Q17. What will be the area of a quadrant of a circle of radius 7 cm?

Ans. 77/2 cm2 

Q18. If n is a natural number,then 6 n can end with the digit 0. (True/False)

Ans. False

Direction for Questions 19 & 20: In question numbers 19 and 20, a statement of Assertion(A) is followed by a statement of Reason(R).Choose the correct options from (a),(b),(c) and (d) as given below:

(a) Both Assertion(A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion(A). 

(b) Both Assertion(A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion(A). 

(c) Assertion(A) is true but Reason(R) is false.

(d) Assertion(A) is false but Reason(R) is true.

Q19. Assertion:The sum of the A.P. 5,9,13,17,…………upto 17 terms is 629. 

Reason: For an AP, if first term =a, common difference=d and n is the number of terms, then Sn=n/2[2a+(n-1)d]

Ans. (a) Both Assertion(A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion(A). 

Q20. Assertion: If two tangents are drawn to a circle from an external point then they subtend equal angles at the centre.

Reason: The length of tangents drawn from an external point to a circle are equal.

Ans. (b) Both Assertion(A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion(A). 

To get the complete sample paper and marking scheme, refer to the links given below:

Online Test Series for HBSE Class 10 Students

Class 10 students can prepare effectively for the exams with the help of online test series prepared by the subject matter experts. These test series will help students to check their exam preparation. Refer to the link below:

HBSE Class 10 Online Test Series 

Also, check

HBSE Class 10 Syllabus 2024-25

NCERT Class 10 Textbook PDFs (Revised)

NCERT Class 10 Solutions (PDFs)

Haryana Board Class 10 Model Paper With Solution 2024-25